Finding the Third Proportional to 10,394 and 19,830

Step by Step Solution

1. Step 1: Write the proportion equation
   10,394 : 19,830 = 19,830 : x
2. Step 2: Convert to fraction form
   10,394/19,830 = 19,830/x
3. Step 3: Cross multiply
   10,394x = 19,830 × 19,830
4. Step 4: Simplify right side
   10,394x = 393,228,900
5. Step 5: Solve for x
   x = 393,228,900/10,394
6. Step 6: Final answer
   x = 37,832.30